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Finding the Third Proportional to 285,837 and 609,636

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Solution

The third proportional to 285,837 and 609,636 is: 1,300,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,837 : 609,636 = 609,636 : x
  2. Step 2: Convert to fraction form
    285,837/609,636 = 609,636/x
  3. Step 3: Cross multiply
    285,837x = 609,636 × 609,636
  4. Step 4: Simplify right side
    285,837x = 371,656,052,496
  5. Step 5: Solve for x
    x = 371,656,052,496/285,837
  6. Step 6: Final answer
    x = 1,300,237.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.